481307264 has 64 divisors (see below), whose sum is σ = 1019696040. Its totient is φ = 225509376.

The previous prime is 481307251. The next prime is 481307303. The reversal of 481307264 is 462703184.

It can be written as a sum of positive squares in 4 ways, for example, as 468289600 + 13017664 = 21640^2 + 3608^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811352 + ... + 811944.

Almost surely, 2^481307264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509848020).

481307264 is an abundant number, since it is smaller than the sum of its proper divisors (538388776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

481307264 is a wasteful number, since it uses less digits than its factorization.

481307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 481307264 is about 21938.7160973472. The cubic root of 481307264 is about 783.6836846959.

The spelling of 481307264 in words is "four hundred eighty-one million, three hundred seven thousand, two hundred sixty-four".